Partition Function and Configurational Entropy in Non-Equilibrium States: A New Theoretical Model
A new model of non-equilibrium thermodynamic states has been investigated on the basis of the fact that all thermodynamic variables can be derived from partition functions. We have thus attempted to define partition functions for non-equilibrium conditions by introducing the concept of pseudo-temper...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2018-03-01
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| Series: | Entropy |
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| Online Access: | http://www.mdpi.com/1099-4300/20/4/218 |
| _version_ | 1811185955366764544 |
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| author | Akira Takada Reinhard Conradt Pascal Richet |
| author_facet | Akira Takada Reinhard Conradt Pascal Richet |
| author_sort | Akira Takada |
| collection | DOAJ |
| description | A new model of non-equilibrium thermodynamic states has been investigated on the basis of the fact that all thermodynamic variables can be derived from partition functions. We have thus attempted to define partition functions for non-equilibrium conditions by introducing the concept of pseudo-temperature distributions. These pseudo-temperatures are configurational in origin and distinct from kinetic (phonon) temperatures because they refer to the particular fragments of the system with specific energies. This definition allows thermodynamic states to be described either for equilibrium or non-equilibrium conditions. In addition; a new formulation of an extended canonical partition function; internal energy and entropy are derived from this new temperature definition. With this new model; computational experiments are performed on simple non-interacting systems to investigate cooling and two distinct relaxational effects in terms of the time profiles of the partition function; internal energy and configurational entropy. |
| first_indexed | 2024-04-11T13:38:08Z |
| format | Article |
| id | doaj.art-edcac18ac0b14544a7a2db50716a9e3a |
| institution | Directory Open Access Journal |
| issn | 1099-4300 |
| language | English |
| last_indexed | 2024-04-11T13:38:08Z |
| publishDate | 2018-03-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Entropy |
| spelling | doaj.art-edcac18ac0b14544a7a2db50716a9e3a2022-12-22T04:21:23ZengMDPI AGEntropy1099-43002018-03-0120421810.3390/e20040218e20040218Partition Function and Configurational Entropy in Non-Equilibrium States: A New Theoretical ModelAkira Takada0Reinhard Conradt1Pascal Richet2Innovative Technology Research Center, Asahi Glass Co. Ltd., Yokohama 221-8755, JapanGlass and Composites and Institute of Mineral Engineering, RWTH Aachen University, 52064 Aachen, GermanyInstitut de Physique du Globe de Paris, 1 Rue Jussieu, 75005 Paris, FranceA new model of non-equilibrium thermodynamic states has been investigated on the basis of the fact that all thermodynamic variables can be derived from partition functions. We have thus attempted to define partition functions for non-equilibrium conditions by introducing the concept of pseudo-temperature distributions. These pseudo-temperatures are configurational in origin and distinct from kinetic (phonon) temperatures because they refer to the particular fragments of the system with specific energies. This definition allows thermodynamic states to be described either for equilibrium or non-equilibrium conditions. In addition; a new formulation of an extended canonical partition function; internal energy and entropy are derived from this new temperature definition. With this new model; computational experiments are performed on simple non-interacting systems to investigate cooling and two distinct relaxational effects in terms of the time profiles of the partition function; internal energy and configurational entropy.http://www.mdpi.com/1099-4300/20/4/218configurational entropythermodynamicsstatistical mechanicscomputer simulation |
| spellingShingle | Akira Takada Reinhard Conradt Pascal Richet Partition Function and Configurational Entropy in Non-Equilibrium States: A New Theoretical Model Entropy configurational entropy thermodynamics statistical mechanics computer simulation |
| title | Partition Function and Configurational Entropy in Non-Equilibrium States: A New Theoretical Model |
| title_full | Partition Function and Configurational Entropy in Non-Equilibrium States: A New Theoretical Model |
| title_fullStr | Partition Function and Configurational Entropy in Non-Equilibrium States: A New Theoretical Model |
| title_full_unstemmed | Partition Function and Configurational Entropy in Non-Equilibrium States: A New Theoretical Model |
| title_short | Partition Function and Configurational Entropy in Non-Equilibrium States: A New Theoretical Model |
| title_sort | partition function and configurational entropy in non equilibrium states a new theoretical model |
| topic | configurational entropy thermodynamics statistical mechanics computer simulation |
| url | http://www.mdpi.com/1099-4300/20/4/218 |
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